using System;
using System.Linq;
using NUnit.Framework;

namespace Solver
{
	/// <summary>
	/// What is the greatest product of four numbers on the same straight line in the 20 by 20 grid?
	/// </summary>
	public class Problem011 : SelfChecker, IProblem
	{
		private static readonly string Grid = @"
08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48";
		
		private int[,] grid_;

		public int Id
		{
			get { return 11; }
		}

		public string Solve()
		{
			return SolveInternal().ToString();
		}

		private void InitGrid()
		{
			grid_ = new int[20, 20];
			int j = 0;
			foreach (var line in Grid.Replace(Environment.NewLine, "/").Split('/').Where(p => p.Length > 0))
			{
				int i = 0;
				foreach (var n in line.Split(' '))
					grid_[i++, j] = Int32.Parse(n);
				j++;
			}
		}

		private int CalcProductAlongTheLine(int x, int y, int dx, int dy)
		{
			var p = 1;
			for (int k = 0; k < 4; k++)
			{
				var i = x + k * dx;
				var j = y + k * dy;
				if (i < 0 || j < 0 || i >= grid_.GetLength(0) || j >= grid_.GetLength(1)) return 0;
				p *= grid_[i, j];
			}
			return p;
		}

		private int SolveInternal()
		{
			InitGrid();
			int maxProduct = 0;
			for (int i = 0; i < grid_.GetLength(0); i++)
				for (int j = 0; j < grid_.GetLength(1); j++)
				{
					var product = new[]
					{
						CalcProductAlongTheLine(i, j, 1, 0),
						CalcProductAlongTheLine(i, j, 0, 1),
						CalcProductAlongTheLine(i, j, 1, 1),
						CalcProductAlongTheLine(i, j, 1, -1)
					}.Max();
					if (product > maxProduct) maxProduct = product;
				}
			return maxProduct;
		}

		[Test]
		public override void Check()
		{
			InitGrid();
			Assert.AreEqual(1788696, CalcProductAlongTheLine(8, 6, 1, 1));
			Assert.AreEqual(70600674, SolveInternal());
		}
	}
}